Question

in \\( \triangle def \\), \\( c \\) is the centroid.
if \\( dm = 36 \\), find \\( dc \\) and \\( cm \\)

\\( dc=\square \\) units

Explanation:

Step1: Recall the centroid property

The centroid of a triangle divides each median into a ratio of \(2:1\). That is, if \(C\) is the centroid and \(DM\) is a median, then \(DC=\frac{2}{3}DM\) and \(CM = \frac{1}{3}DM\).

Step2: Calculate \(DC\)

Given \(DM = 36\). Using the formula \(DC=\frac{2}{3}DM\), we substitute \(DM = 36\) into the formula:
\(DC=\frac{2}{3}\times36\)
\(DC = 24\)

Answer:

\(24\)